Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...

Algebraic Geometry and Representation Theory have long served as twin pillars in modern mathematics, offering deep insights into the structural properties of algebraic varieties and symmetries ...

The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook was a trip to the Social Security office. It was the fall of 2004 and the two of them were promising young graduate students in ...

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. In May, a ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

A new theory aims to explain how the complex vertebrate body, with its skeleton, muscles, nervous and cardiovascular systems, arises from a single cell during development and how these systems evolved ...

Molecular Geometry: If you are looking for the topic of molecular geometry, well you have come to the right place. Molecular geometry is an important topic for students. If students understand it well ...

This is a preview. Log in through your library . Abstract Although mathematical practice has traditionally valued two distinct kinds of mathematical work— referred to by Gowers (2000) as theory ...